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Finding the Fourth Proportional to 147.65, 221.47 and 50.15

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Solution

The fourth proportional to 147.65, 221.47 and 50.15 is: 75.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    147.65 : 221.47 = 50.15 : x
  2. Step 2: Convert to fraction form
    147.65/221.47 = 50.15/x
  3. Step 3: Cross multiply
    147.65x = 221.47 × 50.15
  4. Step 4: Simplify right side
    147.65x = 11,106.86
  5. Step 5: Solve for x
    x = 11,106.86/147.65
  6. Step 6: Final answer
    x = 75.22

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.